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Finding the Fourth Proportional to 298,957.84, 448,436.76 and 205,179.28

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Solution

The fourth proportional to 298,957.84, 448,436.76 and 205,179.28 is: 307,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,957.84 : 448,436.76 = 205,179.28 : x
  2. Step 2: Convert to fraction form
    298,957.84/448,436.76 = 205,179.28/x
  3. Step 3: Cross multiply
    298,957.84x = 448,436.76 × 205,179.28
  4. Step 4: Simplify right side
    298,957.84x = 92,009,931,542.33
  5. Step 5: Solve for x
    x = 92,009,931,542.33/298,957.84
  6. Step 6: Final answer
    x = 307,768.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.